17126721616217 has 2 divisors, whose sum is σ = 17126721616218. Its totient is φ = 17126721616216.

The previous prime is 17126721616129. The next prime is 17126721616243. The reversal of 17126721616217 is 71261612762171.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13360932978121 + 3765788638096 = 3655261^2 + 1940564^2 .

It is a cyclic number.

It is not a de Polignac number, because 17126721616217 - 2¹⁶ = 17126721550681 is a prime.

It is not a weakly prime, because it can be changed into another prime (17126721613217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8563360808108 + 8563360808109.

It is an arithmetic number, because the mean of its divisors is an integer number (8563360808109).

Almost surely, 2^{17126721616217} is an apocalyptic number.

It is an amenable number.

17126721616217 is a deficient number, since it is larger than the sum of its proper divisors (1).

17126721616217 is an equidigital number, since it uses as much as digits as its factorization.

17126721616217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 592704, while the sum is 50.

The spelling of 17126721616217 in words is "seventeen trillion, one hundred twenty-six billion, seven hundred twenty-one million, six hundred sixteen thousand, two hundred seventeen".